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Finding the Third Proportional to 98,647 and 217,402

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Solution

The third proportional to 98,647 and 217,402 is: 479,118.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,647 : 217,402 = 217,402 : x
  2. Step 2: Convert to fraction form
    98,647/217,402 = 217,402/x
  3. Step 3: Cross multiply
    98,647x = 217,402 × 217,402
  4. Step 4: Simplify right side
    98,647x = 47,263,629,604
  5. Step 5: Solve for x
    x = 47,263,629,604/98,647
  6. Step 6: Final answer
    x = 479,118.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.